Question

the probability of getting a bad orange in a lot of 1000 is 0.046. the bad oranges in the lot is:

Answer 1

Answer:

Probability=required no/total no.

X/1000 = 0.046.

x = 0.046 x 1000.

x = 46.

Hence there are 46 bad oranges.

Answer 2

SOLUTION

GIVEN

The probability of getting a bad orange in a lot of 1000 is 0.046

TO DETERMINE

The number of bad oranges in the lot

EVALUATION

Total number of oranges = 1000

Then total number possible outcomes = 1000

Let A be the event that of getting a bad orange

Now it is given that P(A) = 0.046

So by the given condition

$\displaystyle \sf{P(A) = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ \implies \: 0.046 = \frac{The \: number \: of \: bad \: oranges }{1000 }}$

$\displaystyle \sf{ \implies \: The \: number \: of \: bad \: oranges = 0.046 \times 1000 }$

$\displaystyle \sf{ \implies \: The \: number \: of \: bad \: oranges = 46 }$

FINAL ANSWER

The number of bad oranges in the lot = 46

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